Abstract
We revisit moduli stabilization on Calabi-Yau manifolds with a discrete symmetry. Invariant fluxes allow for a truncation to a symmetric locus in complex structure moduli space and hence drastically reduce the moduli stabilization problem in its dimensionality. This makes them an ideal testing ground for the tadpole conjecture. For a large class of fourfolds, we show that an invariant flux with non-zero on-shell superpotential on the symmetric locus necessarily stabilizes at least 60% of the complex structure moduli. In case this invariant flux induces a relatively small tadpole, it is thus possible to bypass the bound predicted by the tadpole conjecture at these special loci. As an example, we discuss a Calabi-Yau hypersurface with h3,1 = 3878 and show that we can stabilize at least 4932 real moduli with a flux that induces M2-charge Nflux = 3.
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Acknowledgments
We would like to thank Mikel Alvarez, Iosif Bena, Thibaut Coudarchet, Naomi Gendler, Mariana Graña, Thomas Grimm, Damian van de Heisteeg, Alvaro Herráez, Fernando Marchesano, Jakob Moritz, David Prieto, and Cumrun Vafa for useful discussions and correspondence. In addition we would like to thank the Simons Center for Geometry and Physics, Stony Brook University for hospitality at the 2022 summer workshop where parts of this work were done. The work of SL is supported by the NSF grant PHY-1915071. The work of MW is supported in part by a grant from the Simons Foundation (602883, CV) and also by the NSF grant PHY-2013858.
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Lüst, S., Wiesner, M. The tadpole conjecture in the interior of moduli space. J. High Energ. Phys. 2023, 29 (2023). https://doi.org/10.1007/JHEP12(2023)029
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DOI: https://doi.org/10.1007/JHEP12(2023)029